Original scientific paper

On the modular equations of degree m - a generalization

Bhaskar Srivastava ; Department of Mathmatics and Astronomy, Lucknow University, Lucknow, India

Abstract

We give a general Lambert series expansion leading to a modular equation of degree m, with this we have a general Fourier series expansion for dn z. The Lambert series are essential for giving modular equations.
We also give a simple proof of a consequence of an identity of Ramanujan leading to a Theorem of Jacobi.

Keywords

Theta functions; Fourier series; Lambert series; q-Hypergeometric series

Hrčak ID:

68625

URI

https://hrcak.srce.hr/68625

Publication date:

10.6.2011.

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